An Approach for the Realization of Threshold Functions of Order r

In this paper we shall study the problem of nonlinear separation. As usual, a Boolean function F of n binary variables, xl,..., xn, xiΣ{1,0}, i=1,..., n, will be represented by a set of vertices C in the n-dimensional Euclidean space Eⁿwhere each vertex has n binary-valued components, {1,0}.